Higher Derivatives of Airy Functions and of their Products

The problem of evaluating higher derivatives of Airy functions in a closed form is investigated. General expressions for the polynomials that have arisen in explicit formulae for these derivatives are given in terms of particular values of Gegenbauer polynomials. A similar problem for products of Ai...

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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2018
Main Authors: Abramochkin, E.G., Razueva, E.V.
Format: Article
Language:English
Published: Інститут математики НАН України 2018
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/209530
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Higher Derivatives of Airy Functions and of their Products / E.G. Abramochkin, E.V. Razueva // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 26 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine